Highest Common Factor of 753, 3572 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 753, 3572 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 753, 3572 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 753, 3572 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 753, 3572 is 1.
HCF(753, 3572) = 1
HCF of 753, 3572 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 753, 3572 is 1.
Highest Common Factor of 753,3572 is 1
Step 1: Since 3572 > 753, we apply the division lemma to 3572 and 753, to get
3572 = 753 x 4 + 560
Step 2: Since the reminder 753 ≠ 0, we apply division lemma to 560 and 753, to get
753 = 560 x 1 + 193
Step 3: We consider the new divisor 560 and the new remainder 193, and apply the division lemma to get
560 = 193 x 2 + 174
We consider the new divisor 193 and the new remainder 174,and apply the division lemma to get
193 = 174 x 1 + 19
We consider the new divisor 174 and the new remainder 19,and apply the division lemma to get
174 = 19 x 9 + 3
We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get
19 = 3 x 6 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 753 and 3572 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(174,19) = HCF(193,174) = HCF(560,193) = HCF(753,560) = HCF(3572,753) .
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Frequently Asked Questions on HCF of 753, 3572 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 753, 3572?
Answer: HCF of 753, 3572 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 753, 3572 using Euclid's Algorithm?
Answer: For arbitrary numbers 753, 3572 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.